Course Archives Theoretical Statistics and Mathematics Unit

Course: Representation theory of finite groups Instructor: Anita Naolekar Room: Second floor auditorium Level: Undergraduate Time: Currently offered

Syllabus Past Exams Syllabus: Introduction to multilinear algebra: Review of linear algebra, multilinear forms, tensor products, wedge product, Grassmann ring, symmetric product. Definition and examples of representations,; Group algebra and Maschkes Theorem, Schurs lemma, Characters and Schurs Orthogonality relations; Burnsides pq theorem, Permutation representations; Induced representations; Frobenius reciprocity law, Representation theory of symmetric groups, Random walks on groups. Reference Texts: (a) A. Prasad: Representation Theory: A Combinatorial Viewpoint. (b) Benjamin Steinberg: Representation Theory of Finite Groups:An Introductory Approach. (c) W. Fulton and J. Harris: Representation Theory, Part I. (d) J-P Serre: Linear representations of finite groups. Evaluation: Mid-term marks Assignment marks Final Exam marks Total 100 marks Top of the page Past Exams

Midterm 24.pdf 25.pdf Semestral 24.pdf 25.pdf Supplementary and Back Paper 24.pdf 25.pdf 25.pdf Top of the page

[ Semester Schedule ][ Statmath Unit ] [Indian Statistical Institute]